English

Ladder Theorem for a Leray alpha model of turbulence

Analysis of PDEs 2011-04-18 v2 Mathematical Physics math.MP

Abstract

In this paper, we study the Modified Leray alpha model with periodic boundary conditions. We show that when the initial data are infinitely differentiable then the unique solution are infinitely differentiable in space and time. Furthermore, this regular solution verifies a sequence of energy inequalities that is called "ladder inequalities".

Keywords

Cite

@article{arxiv.0911.0432,
  title  = {Ladder Theorem for a Leray alpha model of turbulence},
  author = {Hani Ali},
  journal= {arXiv preprint arXiv:0911.0432},
  year   = {2011}
}